Setup:
1. Place the accelerometer on the disk. Verify that the accelerometer reads 0 in the x and y-directions and -9.8m/s^2 in the z-direction.
2. Spin the disk at some speed. Verify that the accelerometer reads 0 in either the x or the y-directions and something in the other direction.
Measurements we will make :
1. How long it takes for disk to make some number of rotation at a range of rotational speed.
2. The accelerometer reading corresponding to each rotational speed.
3. Distance of the accelerometer from the center of the rotation disk.
we measured the radius r = 14cm from ruler.
then, we need to test.
from the centripetal force formula, we got the relationship between Acceleration and angular speed^2 :
we measured the 5 different set of data with different power from the experiments. we got the first rotation of time, the last rotation of time, the number of rotations, and the acceleration a.
Then use the formula to calculate the period T and the angular speed w:
T = [t(the last rotation) - t(the first rotation) ] / the total rotations
W = 2pi / T
Then open the program on the computer, put all the data into the program. make the acceleration a as x-axis, make the w^2 as the y-axis. and linear fit the graph of the relationship between acceleration and angular speed^2 :
we got the slope m = 0.1361m from the graph. However, from the centripetal force formula we got
a= r*w^2 which means the slope m should be equal to the radius r.
For this lab, we calculated the radius r = 0.1361m from what theory predicts, this result is pretty close with the radius we measured r = 14cm = 0.14m. The magnitude of the centripetal acceleration is related to the tangential speed and angular velocity as follows:
F = m*a = m*w^2 *r => a = w^2 * r.
we measured the radius r = 14cm from ruler.
then, we need to test.
from the centripetal force formula, we got the relationship between Acceleration and angular speed^2 :
we measured the 5 different set of data with different power from the experiments. we got the first rotation of time, the last rotation of time, the number of rotations, and the acceleration a.
Then use the formula to calculate the period T and the angular speed w:
T = [t(the last rotation) - t(the first rotation) ] / the total rotations
W = 2pi / T
Then open the program on the computer, put all the data into the program. make the acceleration a as x-axis, make the w^2 as the y-axis. and linear fit the graph of the relationship between acceleration and angular speed^2 :
we got the slope m = 0.1361m from the graph. However, from the centripetal force formula we got
a= r*w^2 which means the slope m should be equal to the radius r.
For this lab, we calculated the radius r = 0.1361m from what theory predicts, this result is pretty close with the radius we measured r = 14cm = 0.14m. The magnitude of the centripetal acceleration is related to the tangential speed and angular velocity as follows:
F = m*a = m*w^2 *r => a = w^2 * r.
No comments:
Post a Comment